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Published on: 14/09/2019
Understanding Elementary Shapes
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Questions + Answers key
Take MCQ Mathematics Test

1.
Find the number of point of intersection between two perpendicular lines.
2.
There are two set-squares in your box. What are the measures of the angles that are formed at their corners? Do they have any angle measure that is common?
3.
Write down the measure of some obtuse angles (give atleast two examples).
4.
Write down the measures of some acute angles.
5.
What is the measure of a right angle?
6.
If a boy facing west and makes \(\frac { 1 }{ 4 } \) revolution anti-clockwise. Further make \(\frac { 1 }{ 6} \) revolution anti clockwise. Then, name the angle that he totally turned by?
7.
What is the name of the angle shown in the following figure?

8.
If a clock hand makes two complete revolution, then how many right angles formed?
9.
Find the number of right angles, formed when the hour hand turned clockwise from 4 to 7.
10.
Find the number of right angles turned through by the hour hand of a clock, when it goes from 10 to 1
11.
What fraction of a clockwise revolution does the hour hand of a clock turn through, when it oes from 6 to 3.
12.
Draw a ΔABC, where AB = 4 cm, BC = 6 cm, CA = 7 cm.
13.
Draw the line segment PQ = 5.6 cm.
14.
If B is the mid-point of \(\overline{ AC } \) and C is the mid-point of \(\overline{ BD } \), where A, B, C and D lie on a straight line, say why AB = CD?
15.
If A, B and C are three points on a line such that AB = 5 cm BC = 3 cm and AC = 8 cm, which one of them lies between the other two?
1.
One
2.
We have, two set-squares in our box. In one of them, angles are of 30°, 60°, 90° and in the other, angles are of 45°, 45°, 90°.
(i)
Clearly, they have one angle measure in common, which is 90°.
3.
120°,145°
4.
We know that, the measure of an acute angle is always less than 90°.
So, 45°, 50°, 55°,60°,65° all are acute angles.
5.
The measure of a right angle = 90°
6.
Obtuse angle
7.
Reflex angle
8.
8 right angles
9.
1 right angle
10.
Here, the hour hand moves from 10 to 1. It starts from 10 and covers digits 11, 12 and 1. So, hour hand turned by one right angle.

11.
The situation from 6 to 3 on clock is given in the figure.
Hence, from 6 to 3, hour hand turns through \(\frac { 3 }{ 4 } \) of a revolution, clockwise.

12.

13.

14.
Given, B is the mid-point of \(\overline{ AC } \)
∴ AB = BC .....(i)
and C is the mid-point of \(\overline{ BD } \).
∴ BC = CD .......(ii)
i.e.,
Now, on adding Eqs. (i) and (ii), we get
AB + BC = BC + CD
∴ AB = CD
15.
Firstly, draw a line AC of 8 cm. Take a point B on AC such that AB = 5 cm.

Now, distance of BC = AC - AB = 8 - 5 = 3 cm
Thus, AB + BC = AC
So, the point B lies between points A and C.
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